Pith Number

pith:2SSQ4AJH

pith:2015:2SSQ4AJHP7HH5WJ6P2UP4YAEZT

not attested not anchored not stored refs pending

Height growth on semisimple groups

Anton Deitmar, Rupert McCallum

arxiv:1512.07452 v2 · 2015-12-23 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2SSQ4AJHP7HH5WJ6P2UP4YAEZT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:23:28.532387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4a50e01277fce7ed93e7ea8fe6004ccde6cf62e6f58653e675be337df46e2a5

Aliases

arxiv: 1512.07452 · arxiv_version: 1512.07452v2 · doi: 10.48550/arxiv.1512.07452 · pith_short_12: 2SSQ4AJHP7HH · pith_short_16: 2SSQ4AJHP7HH5WJ6 · pith_short_8: 2SSQ4AJH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2SSQ4AJHP7HH5WJ6P2UP4YAEZT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d4a50e01277fce7ed93e7ea8fe6004ccde6cf62e6f58653e675be337df46e2a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "516f4503ec9cb66f34841b0d25a4ef6c22b4f6807a7b0d9f473aea2b4f35f42d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-23T12:39:11Z",
    "title_canon_sha256": "dc393965dc85336326cfd2c36466f6b159a4c0946cce75cba68407cc34549864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07452",
    "kind": "arxiv",
    "version": 2
  }
}